# Time and Work

## Time and Work

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Question 1 |

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

1/4 | |

1/10 | |

7/15 | |

8/15 |

Question 1 Explanation:

A's 1 day's work =115
B's 1 day's work =1/20
(A + B)'s 1 day's work =(1/15+1/20)=7/60
(A + B)'s 4 day's work =(7/(60*4))=5/15
Therefore, Remaining work =(1 - 7/15)8/15

Question 2 |

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

46/5 Days | |

47/5 Days | |

48/5 Days | |

49/5 Days |

Question 2 Explanation:

(A + B + C)'s 1 day's work =1/4 ;
A's 1 day's work =1/16;
B's 1 day's work =1/12;
Therefore C's 1 day's work =(total-A-B)=1/4-1/16-1/12 =5/48
So, C alone can do the work in 48/5

Question 3 |

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

12 days | |

15 days | |

16 days | |

18 days |

Question 3 Explanation:

A's 2 day's work =(1/20)*2=1/10;
(A + B + C)'s 1 day's work = 1/20+1/30+1/60=1/10
Work done in 3 days =1/10+1/10=1/5
Now, 1/5 work is done in 3 days.5
Whole work will be done in (3 x 5) = 15 days.

Question 4 |

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in: ?

20 days | |

45/2 days | |

25 days | |

30 days |

Question 4 Explanation:

Ratio of times taken by A and B = 1 : 3.
The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.
If difference of time is 2 days, B takes 3 days.
If difference of time is 60 days, B takes (3/2)x60= 90 days.
So, A takes 30 days to do the work.
A's 1 day's work =1/30
B's 1 day's work =1/90
(A + B)'s 1 day's work =1/30+1/90=4/90=2/45
A and B together can do the work in 45/2

Question 5 |

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

Rs. 375 | |

Rs. 400 | |

Rs. 600 | |

Rs. 800 |

Question 5 Explanation:

C's 1 day's work =(1/2-1/6-1/8=1/24
A's wages : B's wages : C's wages =1/6:1/8:1/24 = 4:3:1
C's share (for 3 days) = Rs.(3*(1/24)*3200)=400

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